Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8, ......to find the following:
a. What is r, the ratio between 2 consecutive terms?
c. Using the formula for the sum of the first n terms of a geometric series. What is the sum of the first 12 terms? Please round your answer to 4 decimals.
d. What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
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